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Mathematics
Mathematics
Problem
Prove that the two circles, which pass through
(
0
,
a
)
(0, a)
(
0
,
a
)
and
(
0
,
−
a
)
(0, -a)
(
0
,
−
a
)
and touch the line
y
=
m
x
+
c
y = mx + c
y
=
m
x
+
c
, will cut orthogonally, if
c
2
=
a
2
(
2
+
m
2
)
c^2 = a^2(2 + m^2)
c
2
=
a
2
(
2
+
m
2
)
.
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